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/*
Copyright (C) 2015 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "arb.h"
void
arb_asinh(arb_t z, const arb_t x, slong prec)
{
if (arb_is_zero(x))
{
arb_zero(z);
}
else
{
arb_t t;
arb_init(t);
arb_mul(t, x, x, prec + 4);
arb_sqrt1pm1(t, t, prec + 4);
if (arf_sgn(arb_midref(x)) >= 0)
{
arb_add(t, t, x, prec + 4);
arb_log1p(z, t, prec);
}
else
{
arb_sub(t, t, x, prec + 4);
arb_log1p(z, t, prec);
arb_neg(z, z);
}
arb_clear(t);
}
}